The in-plane elastic properties of hierarchical composite cellular materials: Synergy of hierarchy, material heterogeneity and cell topologies at different levels

Ongaro, Federica; Barbieri, Ettore; Pugno, Nicola

doi:10.1016/j.mechmat.2016.08.013

Cited by 9 publications

(2 citation statements)

References 29 publications

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“…This is because the collapsed cell resists the compressive deformation, which subsequently results in the hardening of the network. The concept of modeling certain effects in cellular materials using springs is not unknown, as Ongaro et al [23] modeled the behavior of filled cellular materials by using springs as foundations to the cell walls to provide resistivity to compression. In this work, we instead model a collapsed cell as a nonlinear spring.…”

Section: Strain Energy Functionsmentioning

confidence: 99%

Constitutive Modeling of the Densification Behavior in Open-Porous Cellular Solids

Rege

2021

Materials

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The macroscopic mechanical behavior of open-porous cellular materials is dictated by the geometric and material properties of their microscopic cell walls. The overall compressive response of such materials is divided into three regimes, namely, the linear elastic, plateau and densification. In this paper, a constitutive model is presented, which captures not only the linear elastic regime and the subsequent pore-collapse, but is also shown to be capable of capturing the hardening upon the densification of the network. Here, the network is considered to be made up of idealized square-shaped cells, whose cell walls undergo bending and buckling under compression. Depending on the choice of damage criterion, viz. elastic buckling or irreversible bending, the cell walls collapse. These collapsed cells are then assumed to behave as nonlinear springs, acting as a foundation to the elastic network of active open cells. To this end, the network is decomposed into an active network and a collapsed one. The compressive strain at the onset of densification is then shown to be quantified by the point of intersection of the two network stress-strain curves. A parameter sensitivity analysis is presented to demonstrate the range of different material characteristics that the model is capable of capturing. The proposed constitutive model is further validated against two different types of nanoporous materials and shows good agreement.

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Section: Strain Energy Functionsmentioning

confidence: 99%

Constitutive Modeling of the Densification Behavior in Open-Porous Cellular Solids

Rege

2021

Materials

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“…A hierarchical material can be defined as a material that contains structural elements which themselves have structure [58], [59].…”

Section: Hierarchical Extensionmentioning

confidence: 99%

Mechanics of mutable hierarchical composite cellular materials

Ongaro

Barbieri

Pugno

2018

Mechanics of Materials

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This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. Highlights • This paper, inspired by the conguration of the hygroscopic keel tissue of the ice plant, deals with the analysis of a two-dimensional cellular material made of elongated hexagonal cells filled with an elastic material. • The assumption of the Born rule, in conjunction with an energy-based approach, provide the constitutive model in the continuum form. • It emerges a strong influence of the infill's stiffess and cell walls' inclination on the macroscopic elastic constants. In particular, parametric analysis reveals the system isotropy only in the particular case of regular hexagonal microstructure.

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Homogenization of hexagonal and re-entrant hexagonal structures and wave propagation of the sandwich plates with symplectic analysis

Zhang

Deng

et al. 2017

Composites Part B: Engineering

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The in-plane elastic properties of hierarchical composite cellular materials: Synergy of hierarchy, material heterogeneity and cell topologies at different levels

Cited by 9 publications

References 29 publications

Constitutive Modeling of the Densification Behavior in Open-Porous Cellular Solids

Constitutive Modeling of the Densification Behavior in Open-Porous Cellular Solids

Mechanics of mutable hierarchical composite cellular materials

Homogenization of hexagonal and re-entrant hexagonal structures and wave propagation of the sandwich plates with symplectic analysis

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